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  1. Frege's Curiously Two-Dimensional Concept-Script.Landon D. C. Elkind - 2021 - Journal for the History of Analytical Philosophy 9 (11).
    In this paper I argue that the two-dimensional character of Frege’s Begriffsschrift plays an epistemological role in his argument for the analyticity of arithmetic. First, I motivate the claim that its two-dimensional character needs a historical explanation. Then, to set the stage, I discuss Frege’s notion of a Begriffsschrift and Kant’s epistemology of mathematics as synthetic a priori and partly grounded in intuition, canvassing Frege’s sharp disagreement on these points. Finally, I argue that the two-dimensional character of Frege’s notations play (...)
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  2. Julius Caesar and the Numbers.Nathan Salmón - 2018 - Philosophical Studies 175 (7):1631-1660.
    This article offers an interpretation of a controversial aspect of Frege’s The Foundations of Arithmetic, the so-called Julius Caesar problem. Frege raises the Caesar problem against proposed purely logical definitions for ‘0’, ‘successor’, and ‘number’, and also against a proposed definition for ‘direction’ as applied to lines in geometry. Dummett and other interpreters have seen in Frege’s criticism a demanding requirement on such definitions, often put by saying that such definitions must provide a criterion of identity of a certain kind. (...)
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  3. On the Nature, Status, and Proof of Hume’s Principle in Frege’s Logicist Project.Matthias Schirn - 2016 - In Sorin Costreie (ed.), Early Analytic Philosophy – New Perspectives on the Tradition. Springer Verlag.
    Sections “Introduction: Hume’s Principle, Basic Law V and Cardinal Arithmetic” and “The Julius Caesar Problem in Grundlagen—A Brief Characterization” are peparatory. In Section “Analyticity”, I consider the options that Frege might have had to establish the analyticity of Hume’s Principle, bearing in mind that with its analytic or non-analytic status the intended logical foundation of cardinal arithmetic stands or falls. Section “Thought Identity and Hume’s Principle” is concerned with the two criteria of thought identity that Frege states in 1906 and (...)
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  4. Analyticity and Justification in Frege.Gilead Bar-Elli - 2010 - Erkenntnis 73 (2):165 - 184.
    That there are analytic truths may challenge a principle of the homogeneity of truth. Unlike standard conceptions, in which analyticity is couched in terms of "truth in virtue of meanings", Frege's notions of analytic and a priori concern justification, respecting a principle of the homogeneity of truth. Where there is no justification these notions do not apply, Frege insists. Basic truths and axioms may be analytic (or a priori), though unprovable, which means there is a form of justification which is (...)
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  5. The analytic-synthetic distinction and the classical model of science: Kant, Bolzano and Frege.Willem R. de Jong - 2010 - Synthese 174 (2):237-261.
    This paper concentrates on some aspects of the history of the analytic-synthetic distinction from Kant to Bolzano and Frege. This history evinces considerable continuity but also some important discontinuities. The analytic-synthetic distinction has to be seen in the first place in relation to a science, i.e. an ordered system of cognition. Looking especially to the place and role of logic it will be argued that Kant, Bolzano and Frege each developed the analytic-synthetic distinction within the same conception of scientific rationality, (...)
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  6. The analytic-synthetic distinction and the classical model of science: Kant, Bolzano and Frege.Willem R. De Jong - 2010 - Synthese 174 (2):237 - 261.
    This paper concentrates on some aspects of the history of the analyticsynthetic distinction from Kant to Bolzano and Frege. This history evinces considerable continuity but also some important discontinuities. The analytic-synthetic distinction has to be seen in the first place in relation to a science, i.e. an ordered system of cognition. Looking especially to the place and role of logic it will be argued that Kant, Bolzano and Frege each developed the analytic-synthetic distinction within the same conception of scientific rationality, (...)
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  7. Kant and Frege on analyticity.Igor Sedlar - 2007 - Filozofia 62 (4):336-347.
    The question, whether there is a sharp difference between an analytic and a synthetic proposition, is one of the famous philosophical topics of the 20th century. The question, however, urges one to ask following questions: "What is an analytic proposition?", or „What is a synthetic proposition?“. The aim of the paper is to contribute to the discussions of the analyticity in that it tries to answer the first of the two. However, the author does not offer his own conception of (...)
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  8. Implicit thoughts: Quine, Frege and Kant on analytic propositions.Verena Mayer - 2003 - Grazer Philosophische Studien 66 (1):61-90.
    Quine criticised the semantic notion of analyticity that is often attributed to Frege and Kant for presupposing an essentialist theory of meaning. In what follows I trace back the notion from Quine via Carnap to Frege and Kant, and eventually examine Kant's distinction between analytic and synthetic judgements in more detail. It turns out that the so called Frege-Kant-notion of analyticity can not be attributed to Kant. In contrast, Kant had a distinctly pragmatic notion of analytic judgements. According to him (...)
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  9. Gottlob Frege and the analytic-synthetic distinction within the framework of the aristotelian model of science.Willem R. de Jong - 1996 - Kant Studien 87 (3):290-324.
  10. Context principle, fruitfulness of logic and the cognitive value of arithmetic in frege.Marco Antonio Ruffino - 1991 - History and Philosophy of Logic 12 (2):185-194.
    I try to reconstruct how Frege thought to reconcile the cognitive value of arithmetic with its analytical nature. There is evidence in Frege's texts that the epistemological formulation of the context principle plays a decisive role; it provides a way of obtaining concepts which are truly fruitful and whose contents cannot be grasped beforehand. Taking the definitions presented in the Begriffsschrift,I shall illustrate how this schema is intended to work.
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  11. Frege, informative identities, and logicism.Peter Milne - 1989 - British Journal for the Philosophy of Science 40 (2):155-166.
  12. Analyticity and Arithmetic: A Study of Kant and Frege.Joseph Charles Burgess - 1975 - Dissertation, State University of New York at Buffalo
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